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Simplifying 4x + -1(3x + -7) * 2 = 5x + -7 Reorder the terms: 4x + -1(-7 + 3x) * 2 = 5x + -7 Reorder the terms for easier multiplication: 4x + -1 * 2(-7 + 3x) = 5x + -7 Multiply -1 * 2 4x + -2(-7 + 3x) = 5x + -7 4x + (-7 * -2 + 3x * -2) = 5x + -7 4x + (14 + -6x) = 5x + -7 Reorder the terms: 14 + 4x + -6x = 5x + -7 Combine like terms: 4x + -6x = -2x 14 + -2x = 5x + -7 Reorder the terms: 14 + -2x = -7 + 5x Solving 14 + -2x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + -2x + -5x = -7 + 5x + -5x Combine like terms: -2x + -5x = -7x 14 + -7x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -7x = -7 + 0 14 + -7x = -7 Add '-14' to each side of the equation. 14 + -14 + -7x = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = -7 + -14 -7x = -7 + -14 Combine like terms: -7 + -14 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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